Given numbers are 408,648,961,329

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 408,648,961,329 is 3482917704.

Find LCM of 408,648,961,329 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 17 x 27 x 961 x 329 = 3482917704

Therefore, the lowest common multiple of 408,648,961,329 is 3482917704.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

408 x 648 x 961 x 329 = 83590024896

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

961 : 1, 31, 961

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,648,961,329, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

648:2x 2x 2x 3x 3x 3x 3

961:31x 31

329:7x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 83590024896/(1x24)

LCM = 83590024896/24

LCM = 3482917704

Thus, we can understand that the LCM of 408,648,961,329 is 3482917704.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 234, 317, 309, 452
• LCM of 120, 213, 527, 289
• LCM of 938, 149, 262, 181
• LCM of 147, 574, 132, 258
• LCM of 126, 132, 737, 598

1. What is the LCM of 408, 648, 961, 329?

Answer: LCM of 408, 648, 961, 329 is 3482917704.

2. How to calculate the LCM of 408, 648, 961, 329?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 408, 648, 961, 329.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.